LCM( 1766, 803727792 ) = 803727792
Step 1 : Write the given numbers in a horizontal line.
1766 | 803727792 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.
(if any number is not divisible by 2, write it down unchanged)
2 | 1766 | 803727792 |
883 | 401863896 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 803727792 |
2 | 883 | 401863896 |
2 | 883 | 200931948 |
2 | 883 | 100465974 |
3 | 883 | 50232987 |
3 | 883 | 16744329 |
3 | 883 | 5581443 |
7 | 883 | 1860481 |
7 | 883 | 265783 |
43 | 883 | 37969 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 803727792 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 · 7 · 43 · 883 = 803727792 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.